Definition Rectangle is a quadrilateral with opposite sides that are congruent and parallel
Properties Angle Properties 1. *Every angle is a right angle Example Proof
Prove: All angles of a rectangle are right angles
This is the most important property of a rectangle for the following reasons: - Knowing these angles to be 90 degrees, congruence of opposite triangles formed by diagonals can be proved using right triangle shortcuts
Diagonal Properties 1. Diagonals are congruent
2. Diagonals bisect each other AR is congruent to AC (8.95 cm = 8.95 cm)
RC bisects ET
AE is congruent to AT (8.95 cm = 8.95 cm)
ET bisects RC
3. Opposite triangles formed by diagonals are congruent Example Proof
Prove: Triangle RAT is congruent to Triangle CAE
Rectangle is a quadrilateral with opposite sides that are congruent and parallel
Properties
Angle Properties
1. *Every angle is a right angle
Example Proof
Prove: All angles of a rectangle are right angles
This is the most important property of a rectangle for the following reasons:
- Knowing these angles to be 90 degrees, congruence of opposite triangles formed by diagonals can be proved using right triangle shortcuts
Diagonal Properties
1. Diagonals are congruent
2. Diagonals bisect each other
AR is congruent to AC (8.95 cm = 8.95 cm)
RC bisects ET
AE is congruent to AT (8.95 cm = 8.95 cm)
ET bisects RC
3. Opposite triangles formed by diagonals are congruent
Example Proof
Prove: Triangle RAT is congruent to Triangle CAE